Quadratics Patterns and Differences (Algebra One)

Now this is something that I had not really done with my students before, looking at first and second differences of a sequence to determine whether it is quadratic or linear. Pretty cool and ties in with the sequence material from unit 1 and the linear functions in unit 4.

Here is my lesson plan

Objectives

Students will be able to

·         Identify if a pattern is truly quadratic by examining the second differences.

·         Create a quadratic pattern using second differences.

What will students do to learn this?

·

      Now we are going to look at some patterns – hand out patterns & differences WS. Ask students to do #1 – 3 (ignore blank spaces in the tables)

·         Find the differences in #s 4 & 5  discuss,

·         Extend pattern in #5, #2 use regression to find equations

·         ISN “patterns & functions” looking at differences.

·         Discuss “differences” between the f(x) terms (first, second etc).

·         Proving Quadratics Using Differences (WS – maybe skip #2 until next class)

·         HW  Patterns & Quadratics

and we went over into a second class to do the following:

·         Add “juggler” example to ISN

·         St. Louis Arch example

·         Other real life objects – banana & McDonald’s arches

·         Exit slip

·         HW – find an image on the internet that appears to be parabola shape. Print out and do the same as we did on banana & McDonald’s. (table of data, first & second differences, run quadratic regression with equation and R² value). this was cool but none of the images found were really quadratics.

Here are my ISN pages

left hand learning:

right hand reflect:

And this folder has all my ISN templates for this unit (8 blog posts worth! I'll post this link on each blog). It's way easier to upload them all together.

Here are supporting materials I used for this topic.